Hello Find and such that: { } , { } are divergent sequences for and { } is a convergent sequences. The problem here is both must positive. If not, and is a nice counter-example. But they must be positive.
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Originally Posted by General Hello Find and such that: { } , { } are divergent sequences for and { } is a convergent sequences. The problem here is both must positive. If not, and is a nice counter-example. But they must be positive. Here's a tip, just because a sequence is divergent it doesn't mean it goes to infinity. Bigger hint; Spoiler: think sine and cosine.
Originally Posted by pomp Here's a tip, just because a sequence is divergent it doesn't mean it goes to infinity. Bigger hint; Spoiler: think sine and cosine. But sine and cosine are not positive for all
Originally Posted by General But sine and cosine are not positive for all Well then do something to them that will ensure they are...
You mean and ? What the limit of them ? What the limit of thier sum ? as
Originally Posted by General You mean and ? What the limit of them ? What the limit of thier sum ? as "What the limit of them?" Neither converge to a limit, they oscillate in (0,1) "What is the limit of thier sum? " What is ?
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